Suppose that f(T) is the cost to heat my house, in dollars per day, when the outside temperature is Tº Fahrenheit. If ƒ(23) = 9.29 andf'(23) = -0.16, approximately what is the cost to heat my house when the temperature is 20° F?

Suppose that f(T) is the cost to heat my house, in dollars per day, when the outside temperature is T° Fahrenheit. If f(23) = 9.29 and f(23) = -0.16, approximately what is the cost to heat my house when the temperature is 20° F?

Suppose that f(T) is the cost to heat my house, in dollars per day, when the outside temperature is T° Fahrenheit. If f(23) = 9.29 and f(23) = -0.16, approximately what is the cost to heat my house when the temperature is 20° F?

Calculus For The Life Sciences

2nd Edition

ISBN:9780321964038

Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.

Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.

Chapter3: The Derivative

Section3.3: Rates Of Change

Problem 30E: If the instantaneous rate of change of f(x) with respect to x is positive when x=1, is f increasing...

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Question

Suppose that f(T) is the cost to heat my house, in dollars per day, when the outside temperature is Tº Fahrenheit. If ƒ(23) = 9.29 and
f'(23) = -0.16, approximately what is the cost to heat my house when the temperature is 20° F?

Expert Solution

Step 1

According to tangent line approximation

Given $x_{0} = 23 a n d x = 20$

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